2305916400 has 120 divisors (see below), whose sum is σ = 7625019904. Its totient is φ = 595065600.

The previous prime is 2305916387. The next prime is 2305916407. The reversal of 2305916400 is 46195032.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2305916407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6207 + ... + 68193.

Almost surely, 2^2305916400 is an apocalyptic number.

2305916400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2305916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812509952).

2305916400 is an abundant number, since it is smaller than the sum of its proper divisors (5319103504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2305916400 is a wasteful number, since it uses less digits than its factorization.

2305916400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62039 (or 62028 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2305916400 is about 48019.9583506692. The cubic root of 2305916400 is about 1321.1369909791.

The spelling of 2305916400 in words is "two billion, three hundred five million, nine hundred sixteen thousand, four hundred".